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Finding the Third Proportional to 326,230.88 and 716,290.31

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Solution

The third proportional to 326,230.88 and 716,290.31 is: 1,572,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,230.88 : 716,290.31 = 716,290.31 : x
  2. Step 2: Convert to fraction form
    326,230.88/716,290.31 = 716,290.31/x
  3. Step 3: Cross multiply
    326,230.88x = 716,290.31 × 716,290.31
  4. Step 4: Simplify right side
    326,230.88x = 513,071,811,781.35
  5. Step 5: Solve for x
    x = 513,071,811,781.35/326,230.88
  6. Step 6: Final answer
    x = 1,572,726.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.